Mechanics and Thermodynamics of Solid Continua

Course guarantor:

Martin Kružík

Lecturer:

Martin Kružík

Tutor:

Supervisor:

Department of Physics

Synopsis:

The course focuses on models used in the mechanics of solid continua. Topics include isotropic functions, objective functions, the principle of material frame-indifference, elastic materials in finite elasticity, the linearized theory, incompressible materials in both finite elasticity and the linearized theory, hyperelasticity, behavior of models with respect to the determinant of the deformation gradient, the definition of the first PiolaKirchhoff stress tensor for hyperelastic materials, material models in finite elasticity, elastic constants of hyperelastic materials, and homogeneous vs. inhomogeneous materials.

Further topics include rheological models, the KelvinVoigt material, the Maxwell material, viscous materials with heat conduction, thermoelastic materials, and adiabatic materials. The ClausiusDuhem inequality and its consequences for constitutive relations are also discussed.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans: